77100961 has 12 divisors (see below), whose sum is σ = 90074820. Its totient is φ = 65802240.

The previous prime is 77100949. The next prime is 77100979. The reversal of 77100961 is 16900177.

It can be written as a sum of positive squares in 2 ways, for example, as 30041361 + 47059600 = 5481^2 + 6860^2 .

It is not a de Polignac number, because 77100961 - 2¹¹ = 77098913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8545 + ... + 15073.

It is an arithmetic number, because the mean of its divisors is an integer number (7506235).

Almost surely, 2^77100961 is an apocalyptic number.

It is an amenable number.

77100961 is a deficient number, since it is larger than the sum of its proper divisors (12973859).

77100961 is a wasteful number, since it uses less digits than its factorization.

77100961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 31.

The square root of 77100961 is about 8780.7152897700. The cubic root of 77100961 is about 425.6179449093.

The spelling of 77100961 in words is "seventy-seven million, one hundred thousand, nine hundred sixty-one".